Philosophical Magazine B · 1992 · 15 citations · 20 references
Natural SciencesPhysicsComputational PhysicsCondensed Matter PhysicsTheoretical PhysicsDisordered SystemsFractal GeometryStatistical MechanicsAnderson Impurity ModelAnderson LocalizationExponential DecayLocalization PhenomenaMany-body LocalizationMultifractal ProcessesMultifractal Spectrum
Abstract Electronic wavefunctions in weakly disordered systems have been studied within the Anderson model of localization. The eigenstates calculated by means of the Lanczos diagonalization algorithm display characteristic spatial fluctuations that can be described by a multifractal analysis. For increasing disorder or energy the observed curdling of the wavefunction reflects the stronger localization, but no exponential decay can be observed. This is reflected in the set of generalized fractal dimensions and the singularity spectrum of the fractal measure.
20
Electronic processes in non-crystalline materials
A.K. Jonscher · Thin Solid Films · 1972 · 4K citations
Direct determination of the f(α) singularity spectrum
Ashvin B. Chhabra, Roderick V. Jensen · Physical Review Letters · 1989 · 1.1K citations